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Finding the Third Proportional to 320,496.75 and 683,898.19

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Solution

The third proportional to 320,496.75 and 683,898.19 is: 1,459,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,496.75 : 683,898.19 = 683,898.19 : x
  2. Step 2: Convert to fraction form
    320,496.75/683,898.19 = 683,898.19/x
  3. Step 3: Cross multiply
    320,496.75x = 683,898.19 × 683,898.19
  4. Step 4: Simplify right side
    320,496.75x = 467,716,730,865.79
  5. Step 5: Solve for x
    x = 467,716,730,865.79/320,496.75
  6. Step 6: Final answer
    x = 1,459,349.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.